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Simplifying 15v + 1 + -6v = 4(v + 4) Reorder the terms: 1 + 15v + -6v = 4(v + 4) Combine like terms: 15v + -6v = 9v 1 + 9v = 4(v + 4) Reorder the terms: 1 + 9v = 4(4 + v) 1 + 9v = (4 * 4 + v * 4) 1 + 9v = (16 + 4v) Solving 1 + 9v = 16 + 4v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-4v' to each side of the equation. 1 + 9v + -4v = 16 + 4v + -4v Combine like terms: 9v + -4v = 5v 1 + 5v = 16 + 4v + -4v Combine like terms: 4v + -4v = 0 1 + 5v = 16 + 0 1 + 5v = 16 Add '-1' to each side of the equation. 1 + -1 + 5v = 16 + -1 Combine like terms: 1 + -1 = 0 0 + 5v = 16 + -1 5v = 16 + -1 Combine like terms: 16 + -1 = 15 5v = 15 Divide each side by '5'. v = 3 Simplifying v = 3
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